Zero Cycles on Certain Surfaces in Arbitrary Characteristic

[摘要] Let 𝑘 be a field of arbitrary characteristic. Let 𝑆 be a singular surface defined over 𝑘 with multiple rational curve singularities and suppose that the Chow group of zero cycles of its normalisation $overline{S}$ is finite dimensional. We give numerical conditions under which the Chow group of zero cycles of 𝑆 is finite dimensional.

[学科分类] 数学（综合）

[关键词] Fake projective planes;Bloch’s conjecture;singular surfaces.